Free Printable Applied Math Final Exam

1.

-8+(-2)

a)

-6

b)

-10

c)

10

d)

6

2.

-6-2

a)

8

b)

-4

c)

4

d)

-8

3.

-5-(-7)

a)

-12

b)

12

c)

2

d)

-2

4.

Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?

a)

-34 feet

b)

-54 feet

c)

54 feet

d)

-26 feet

5.

Find the value:
15 - 100

a)

-85

b)

100

c)

-100

d)

95

6.

-3(-4)

a)

-12

b)

7

c)

-7

d)

12

7.

-10(4)

a)

40

b)

-14

c)

-40

d)

14

8.

44/-4=

a)

11

b)

-8

c)

-11

d)

-1/11

9.

On Friday, Elsa made withdrawals of $50, $60, and $17 from her savings account. On Monday she made a deposit of $135. How much money is now in Elsa's savings account?

a)

$262

b)

$8

c)

-$8

d)

-$262

10.

A soccer team is having a car wash. The team spent $50 on supplies. They earned $250, including tips. Write a sum of integers that represents the team’s profit.
**Profit is money they made.

a)

-50 + 250 = -200

b)

-50 + (-250) = -300

c)

50 + 250 = 300

d)

-50 + 250 = 200

11.

Add the polynomials:
(2x+5y) + (3x-2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

12.

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

13.

(4x²+x) - (x²+2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

14.

Simplify the expression.
(4n⁴-8n+4) - (8n²+4n⁴+1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

15.

Find the difference.
(3-2x+2x²) - (4x-5+3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

16.

Add the polynomials:
(2x+5y) + (3x-2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

17.

(4x²+x) - (x²+2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

18.

Simplify the expression.
(4n⁴-8n+4) - (8n²+4n⁴+1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

19.

Find the difference.
(3-2x+2x²) - (4x-5+3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

20.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

21.

Add the polynomials:

\left(3x^3+3x^2-4x+5\right)+\left(x^3-2x^2+x-4\right)

a)

$4x^3+x^2-3x+1$

b)

$2x^3+x^2-5x+9$

c)

$2x^3+5x^2-5x+9$

d)

$4x^3+5x^2-3x+1$

22.

Find the area of the parallelogram.

a)

42

b)

21

c)

84

d)

Impossible to determine with the information given.

23.

Find the area of the parallelogram.

a)

45

b)

22.5

c)

90

d)

Impossible to determine with the information given.

24.

Find the value of h if the area of the parallelogram is 96 mm².

a)

12

b)

9.6

c)

16

d)

24

25.

Find the area of the triangle.

a)

16.5

b)

33

c)

66

d)

Impossible to determine based on the information given.

26.

Find the area of the triangle.

a)

28.8

b)

57.6

c)

115.2

d)

Impossible to determine based on the information given.

27.

Find the area of the largest triangle shown.

a)

39

b)

78

c)

30.8

d)

24

28.

Find the value of h in the parallelogram.

a)

1.6

b)

9.025

c)

10

d)

15.2

29.

A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

a)

4

b)

120

c)

8

d)

6400

30.

Find the area

a)

96 cm²

b)

48 cm²

c)

36 cm²

d)

48 cm

31.

Find the area.

a)

126 ft²

b)

39 ft²

c)

156 ft²

d)

80 ft²

32.

Find the area.

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

33.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

34.

What is the area of this circle?

a)

25π

b)

10π

c)

π

d)

5π

35.

Find the area of a parallelogram with a base of 30 m and a height of 25 m

a)

750 m²

b)

375 m²

c)

705 m²

d)

110 m²

36.

Write an algebraic equations to represent the situation. Define your variable.

There were 32 students in Jaden’s class eating lunch. Then, more students joined Jaden’s class. Now there are 86 total students eating lunch. How many students joined Jaden’s class?

a)

$86+32=x$

b)

$32+x=86$

c)

$x-32=86$

37.

You bought a magazine for $8 and 6 erasers. If you spent a total of $11, then how much did each eraser cost?

a)

$3.00

b)

$2.00

c)

$.50

d)

$.625

38.

You decide to rent a bike for $25 plus $3.00 per hour. If you spent a total of $40.00, how many hours did you rent the bike?

a)

1 hour

b)

4 hours

c)

2 hours

d)

5 hours

39.

You want to buy a new pair of shoes that costs $95.00. You have already saved up $27.00 and you plan to save $4 per week. How many weeks until you have enough money to buy the shoes?

a)

68 weeks

b)

17 weeks

c)

91 weeks

d)

64 weeks

40.

For a field trip, 13 students rode in cars and the rest filled seven buses. How many students were in each bus if 251 students were on the trip?

a)

231

b)

5

c)

65

d)

34

41.

Half of your baseball card collection got wet and was ruined. Bought 11 cards to replace some that were lost. How many did you begin with if you now have 31?

a)

40

b)

51

c)

73

d)

62

42.

Paul bought a notebook for $2.50 and 3 pencils. He spent a total of $5.47. How much did each pencil cost?

a)

$.99

b)

$2.97

c)

$7.97

d)

$1.17

43.

Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden?

a)

80in

b)

35in²

c)

35cm²

d)

80in²

44.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

45.

A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal would be needed if there is no overlap?

a)

.06 m²

b)

1.71 m²

c)

1.75 m²

d)

1.79 m²

46.

Paul needs to paint a door in his house with the dimensions given in the picture. He wants to give the door 2 coats of paint. How many square centimeters of paint does he need?

a)

67360 cm²

b)

33680 cm²

c)

66400 cm²

d)

66880 cm²

47.

How much paper would be needed to put a label around this can (Don't include the top and bottom of the can) without overlapping.

a)

325.7 cm²

b)

418.2 cm²

c)

261.4 cm²

d)

83.2 cm²

48.

The regular price of a diaper bag at Bed Bath & Beyond is $70. What is the new price of the item after Kate uses the one single item in-store coupon for 20% off

(a)

49.

Ted bought a used Jeep Cherokee for $24,000. He paid 75% of what the car was originally worth MSRP. What was the original price of the car at the dealer?

(a)

50.

John needs $150 for new Apple AirPods. So far, he has saved $50. What percent of the price of the AirPod has he saved. Round answer to the nearest whole percent!

(a)

51.

If Kevin's monthly salary of $4,500 is 72 percent of Paul's monthly salary, what is Paul's monthly salary?

(a)

52.

There is a ratio of 5 boys to 11 girls in our class. What is the total number of students if there are 6 boys?

a)

26

b)

18

c)

11

53.

Solve the proportion.

a)

18

b)

3

c)

2

d)

9

54.

Solve the proportion.

a)

60

b)

15

c)

3

d)

12

55.

Earl runs 90 meters in 2 minute. How many meters does Earl run per second?

a)

45

b)

4.5

c)

1.5

d)

0.75

56.

Danny charges $35 for 3 hours of swimming lessons. Martin charges $24 for 2 hours of swimming lessons. Who offers a better deal?

a)

Danny

b)

Martin

c)

They have the same hourly rate

57.

Janice bought 4 oranges for $3.40. What is the unit price?

a)

$0.50

b)

$0.85

c)

$0.40

d)

$3.40

58.

A recipe calls for 3 cups of sugar and 9 cups of water. If the recipe is reduced, how many cups of water should be used with 2 cups of sugar?

a)

16 cups of sugar

b)

1 cup of water

c)

6 cups of water

d)

14 cups of sugar

59.

John can solve 𝟔 math problems in 𝟐𝟎 minutes while Juaquin can solve the same math problems at a rate of 𝟏 problem in 𝟒 minutes. Who works faster?

a)

John can solve faster

b)

Juaquin can solve faster

c)

They solve at the same rate

60.

Patrick collects toy cars and has a ratio of 2 red cars to 3 green cars to 5 blue cars. If he has 75 green cars, how many cars are in his collection?

a)

25

b)

75

c)

150

d)

250

61.

Due to recent demand, Target is raising the price of a certain video game by 24%. If the game previously sold for $25, what is the new price?

a)

$31.00

b)

$29.50

c)

$30.75

d)

$32.00

62.

In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars did not finish the race?

a)

20%

b)

40%

c)

60%

d)

80%

63.

Of the 50 fish John caught from the lake, 14 were trout. The estimated population of the lake is 7,500. About how many trout would you expect to be in the lake?

a)

2,100 trout

b)

2,000 trout

c)

2,200 trout

d)

2,300 trout

64.

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1.75 inches. The scale of the map is 1 in: 80 mi. What is the actual distance between the two cities?

a)

200 miles

b)

175 miles

c)

140 miles

d)

140 inches

65.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?

a)

75

b)

51

c)

36

d)

34

66.

A sports store near Big Bear Lake is having a 20% off sale on all water skis.

What will the sale price be for water ski’s that regularly sell for $248.50 if tax is 10%?

a)

$273.35

b)

$198.80

c)

$218.68

d)

$201.74

67.

Brianna makes a model of the Eiffel Tower for a school project. Her model is 25cm wide at the bottom. If Brianna used a scale of 1cm for every 5m, how wide is the actual Eiffel Tower?

a)

5 m

b)

25 m

c)

125 m

d)

625 m

68.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

69.

Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?

a)

$0.08

b)

$25

c)

$12

d)

$12.50

70.

A Chicago Cubs baseball cap costs $30 including tax. Michael has a coupon that will save him 30% of the price. How much money will Michael save using his coupon?

a)

$9.00

b)

$22.00

c)

$21.36

d)

$21.00

71.

Gabriel saves 40% of his monthly paycheck for college. If he saved $300. How much was in his paycheck?

a)

$120

b)

$180

c)

750

d)

$340

72.

The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?

a)

6:5

b)

5:6

c)

6:11

d)

6:11

73.

In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?

a)

18

b)

12

c)

4

d)

15

74.

$\frac{20xy^2}{4xy}$

a)

$5xy$

b)

$5y$

c)

$5y^2$

d)

none of the above

75.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

76.

$\frac{9m^2n}{18mn}$

a)

$\frac{m}{2}$

b)

$2m$

c)

$2mn$

d)

$\frac{mn}{2}$

77.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

78.

(e + 7)(e + 9)

a)

e² + 63e + 16

b)

e² + 16e + 63

c)

e² + 79

d)

e² + 16e + 2

79.

(e + 5)(e + 4)

a)

e² + e + 20

b)

e² + 20e + 9

c)

e² + 9e + 20

d)

e² - 9e + 54

80.

Find the product: (3e – 1)(e + 5)

a)

3e² + 4e + 5

b)

3e² + 4e - 5

c)

3e² + 14e + 5

d)

3e² + 14e - 5

81.

-9x²+12x-15+4x²-7x+10

a)

-5x²+5x-5

b)

5x²+5x+23

c)

3x²-3x-5

d)

-10x²-5

82.

x²+12-9x-6x²+11x-4

a)

-5x²+2x+8

b)

-6x²+2x+8

c)

7x²+20x+16

d)

-3x²+8

83.

Rewrite the expression by combining like terms.
5x² + 5y + 2x² + 4y² – 4x² + 2y² - 4y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

84.

Simplify: 2y + 3y² + 13y + 5y²

a)

15y + 8y²

b)

23y³

c)

18y²

d)

12y + 2y²

85.

Simplify: 12x + 8x²- 11x²

a)

12x - 3x²

b)

9x²

c)

20x² - 11x

d)

11x - 3x²

86.

Simplify: -5x² + 5x + 2x²

a)

-3x² + 5x + 2x²

b)

-3x² + 5x

c)

-4x² + 5x

87.

2ab x 5a =

a)

10ab²

b)

10a²b²

c)

10a²b

d)

10ab

88.

4 − 5(−4n + 3)

a)

-9n + 7

b)

20n - 11

c)

-20n + 19

d)

20n + 19

89.

Which one is the variable?
3w + 2w - (-7w)

a)

3

b)

2

c)

w

d)

12

90.

Solve the equation.

a)

x = 6

b)

x = 30

c)

x = 3.3

d)

x = 54

91.

Solve the equation.

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 2.25

92.

Solve the equation.

a)

x = 0.6

b)

x = 2.3

c)

x = 4

d)

x = -1

93.

Solve the equation.

a)

x = 1

b)

x = 5

c)

x = 0.27

d)

x = 1.36

94.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

95.

When Solving the Equation
$3x+15=3\left(x+5\right)$

What do you get no solution or infinite solutions?
Select the correct answer.
SHOW YOUR WORK ON PAPER!!

a)

No Solution

b)

All Real Numbers or infinite numbers

96.

Solve:
$3x-x+4=4\left(2x+1\right)$

SHOW YOUR WORK ON PAPER!!

a)

No Solution

b)

All Real Numbers

c)

x = 6

d)

x = 0

97.

$\frac{3}{4}x+\frac{2}{5}=x-\frac{7}{10}$

SHOW YOUR WORK ON PAPER!!

a)

$\frac{22}{5}$

b)

$\frac{5}{22}$

c)

$\frac{22}{15}$

d)

$\frac{11}{4}$

98.

$-8-3\left(6n-5\right)=97$

Show your work on paper!!

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

99.

Where did Rajendra make an error in his calculation?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Rajendra is correct.

100.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

101.

What does it mean to budget?

a)

reevaluating your savings account yearly

b)

an estimate of income and expenses for a set period of time

c)

adding up all of your income

d)

your financial goals

102.

What is the first step you should take when planning your budget?

a)

reviewing and adjusting your expenses

b)

add up all of your income

c)

divide your expenses into fixed vs variable

d)

gather all financial statements

103.

Fixed expenses are...

a)

costs that are necessary and stay the same amount each month

b)

costs that are necessary, but the amount that you spend differs from month-to-month

c)

costs that are easily changed, reduced, or eliminated.

d)

income not spent, but rather putting money aside for big purchases, emergencies, the future, etc.

104.

What is a flexible expense?

a)

costs that are easily changed, reduced, or eliminated

b)

costs that are necessary, but the amount that you spend differs from month-to-month

c)

costs that are necessary and stay the same amount each month

d)

income not spent, but rather putting money aside for big purchases, emergencies, the future, etc.

105.

Which of the following is NOT an example of flexible expense?

a)

going out to eat

b)

making a car payment

c)

going to a vacation

d)

getting your nails done

106.

What is comparison shopping?

a)

Making an unplanned or quick purchase without giving it much thought.

b)

looking at products and prices at different stores before making a purchase.

107.

Which form of income should you base your budget off of?

a)

Net income

b)

Gross income

c)

Both net and gross income

d)

Neither net or gross income

108.

Gross Pay is...

a)

take home pay

b)

overtime pay

c)

net pay

d)

regular pay + overtime pay

109.

Net Pay is...

a)

pay you get after deductions

b)

pay you get before deductions

c)

gross pay

d)

regular pay + overtime pay

110.

Gross Pay is...

a)

take home pay

b)

overtime pay

c)

net pay

d)

regular pay + overtime pay

111.

Net Pay is...

a)

pay you get after deductions

b)

pay you get before deductions

c)

gross pay

d)

regular pay + overtime pay

112.

How many hours can you work in a week to be considered STANDARD?

a)

35

b)

30

c)

40

d)

45

113.

If Susan worked 52 hours this week, how many hours did she work OVERTIME?

a)

40

b)

0

c)

10

d)

12

114.

What is the RATE used to calculate overtime?

a)

5 times

b)

2 times

c)

1.5 times

d)

2.5 times

115.

Joe worked 35 hours this week and earned $17.25 per hour. What is Joe's GROSS PAY?

a)

$603.75

b)

$595

c)

$54.25

d)

$522.50

116.

What is Melissa's OVERTIME rate per hour if her regular rate is $10.75? (Remember, we use 1.5 when calculating our overtime rate and we round to two decimal places)

a)

$15.38

b)

$16.13

c)

$53.75

d)

$12.25

117.

How many weeks are in a year?

a)

26

b)

4

c)

12

d)

52

118.

How many months are in a year?

a)

26

b)

4

c)

12

d)

52

119.

How many times in year will you get paid, if you are paid BIWEEKLY?

a)

26

b)

4

c)

12

d)

52

120.

How many times will you get paid in a year, if you are paid WEEKLY?

a)

26

b)

4

c)

12

d)

52

121.

What percent is used to calculate the Social Security deduction?

a)

15%

b)

6.2%

c)

1.45%

d)

12%

122.

What percent is used to calculate the Medicare deduction?

a)

15%

b)

6.2%

c)

1.45%

d)

12%

123.

Is a health insurance premium deduction a percent or flat rate?

a)

Percent

b)

Flat Rate

124.

What are your total deductions, if you deductions are as follows: Federal Tax $154.53, Social Security $56.74, Medicare $14.15, and health insurance premiums $48?

a)

$236.47

b)

$198.47

c)

$190.80

d)

$273.42

125.

If you clocked in to work at 7:00am and worked until 5pm, how many hours did you work?

a)

12 hours

b)

2 hour

c)

10 hours

d)

5 hours

126.

If you clocked in at 8:30am and worked until 4:00pm, how many hours did you work?

a)

8 hours

b)

7.5 hours

c)

8.5 hours

d)

7 hours

127.

Eli earns an 8% commission on his sales of $75,680. What is his commission?

a)

$6,054.40

b)

$60,544

c)

$605,440

d)

$75,688

128.

Lucy earned $493 for the week plus $525 in tips. What is her gross pay?

a)

$620

b)

$865

c)

$32

d)

$1,018

129.

If Mary gets paid $12,300 a year, how much does she get paid each month?

a)

$1,025

b)

$3,075

c)

$473.08

d)

$147,600

Applied Math Final Exam

Total questions: 129

Worksheet time: 5hrs 15mins

Similar Resources on Wayground